T1W9L4: inverse parabola

• basic inverse parabola: $y^2=x$
  • properties and features
    • vertex at (0,0)
    • as y -> inf, x -> inf
    • as y -> -inf, x -> -inf
    • line of symmetry at y=0
    • domain: x subset R, x >_ 0
• $y=a(x-h{)}^2+k$
• $y-k=a(x-h{)}^2$
• $\frac{y-k}{a}=(x-h{)}^2$
• $(y-k{)}^2=a^2(x-h)$